GT Seminar with Wenyuan Li (Northwestern university)
- Date: 29 September 2022, 15:15–16:15
- Location: Ångström Laboratory, room Å64119 and on zoom https://uu-se.zoom.us/j/68210068219
- Type: Seminar
- Lecturer: Wenyuan Li (Northwestern university)
- Organiser: Matematiska institutionen
- Contact person: Noémie Legout
Welcome to this seminar held by Wenyuan Li (Northwestern university) with the title "Lagrangian cobordism functor in sheaf theory".
Abstract: Given a Lagrangian cobordism between Legendrian submanifolds in the unit cotangent bundles, we construct a functor between the categories of sheaves on the base manifold with singular support on the Legendrians. This provides a sheaf theory description analogous to the Lagrangian cobordism map on Legendrian contact homologies enhanced with loop space coefficients. The construction works for singular exact Lagrangian cobordisms between singular Legendrians as well. I will then deduce some new obstructions to Lagrangian cobordisms between high dimensional Legendrians. If time permits, I will discuss immersed exact Lagrangian cobordisms based on future work in progress by constructing the cobordism functor from a different perspective.
See upcoming seminars in our seminar series on Geometry and Topology (GT).